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math.chi-square-goodness Calculator
Calculates chi-square goodness-of-fit test statistic from observed vs. expected frequencies, with degrees of freedom and p-value interpretation. Goodness-of-fit tests whether observed data follows a hypothesised distribution — the first step in distribution fitting.
Inputs
Observed1
Reference formula or conversion factor shown for context.
Expected1
Reference formula or conversion factor shown for context.
Observed2
Reference formula or conversion factor shown for context.
Expected2
Reference formula or conversion factor shown for context.
Results
chi-squared statistic
Chi-squared statistic for testing goodness of fit or independence. Compare to critical chi-squared for your degrees of freedom.
degrees of freedom
The magnitude or severity on the applicable scale.
critical value (α=0.05)
The threshold the test statistic must exceed to reject the null hypothesis at the chosen significance level.
result
The final computed result based on the given inputs.
χ² = Σ(O-E)²/E
Reference formula or conversion factor shown for context.
use
Reference formula or conversion factor shown for context.